The question is below?
# mutually tangent spheres of radius 1 rest on a horizontal plane. A sphere of radius 2 rests on them. What is the distance from the plane to the top of larger sphere?
# mutually tangent spheres of radius 1 rest on a horizontal plane. A sphere of radius 2 rests on them. What is the distance from the plane to the top of larger sphere?
1 Answer
The distance is
Explanation:
Let the radiuses of the mutually tangent spheres be
respectively
Let
Recall the distance formula:
Thus,
Since
Since the radius of the sphere is 2,
height